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xeze [42]
1 year ago
12

A rectangular prism has a length that is 3 inches shorter than the height and a width that is 5 inches longer than the height. F

ill in the blanks to create an equation for the volume of the prism as a function of the height.
Mathematics
1 answer:
LUCKY_DIMON [66]1 year ago
5 0

An equation for the volume of the prism as a function of the height is Volume = h³ + 2h² - 15h.

  • We are given a rectangular prism.
  • A rectangular prism is no different than a cuboid.
  • Let the height of the rectangular prism be "h".
  • The length of the rectangular prism is "h-3".
  • The width of the rectangular prism is "h+5".
  • The volume of the rectangular prism is the same as that of the cuboid.
  • The volume of the rectangular prism is the product of its length, its width, and its height.
  • The volume of the rectangular prism is (h - 3)*(h + 5)*h.
  • An equation for the volume of the prism as a function of the height is :
  • Volume = (h - 3)*(h + 5)*h
  • Volume = (h² + 2h - 15)*h
  • Volume = h³ + 2h² - 15h

To learn more about prism, visit :

brainly.com/question/12649592

#SPJ1

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Rashad draws a figure and divides it into equal parts. Two of the parta are red. The other 4 parts are blue. Rashad saya that 2/
Juliette [100K]
Let
x--------------> the complete figure 
we know that
the figure is divided into 6 equal parts
x= (x/6)+(x/6)+(x/6)+(x/6)+(x/6)+(x/6)
red=(x/6)+(x/6)--------> red=(2x/6)=x/3
blue=(x/6)+(x/6)+(x/6)+(x/6)=(4x/6)=2x/3

Rashad say that 2/4 of the figure is red-------> Rashad is wrong
because (2/4) <span>It is half of the figure

</span>the correct thing is to say (1/3) o the figure is red and (2/3) of the figure is blue
3 0
3 years ago
There are 24 children in a class, 16 brown-haired and 8 black-haired. Two students are randomly selected for a stage performance
Natali5045456 [20]
The answer is 7/69.

There are 8 black-haired children among 24 children. The probability of <span>randomly selecting black haired children for the first time is:
P1 = 8/24 = 1/3

Now, there are 7 black-haired children left among 23 children. The probability of </span>randomly selecting black haired children for the second time is:
P2 = 7/23

Since we want both of these events to occur together, we will multiply their probabilities:
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6 0
3 years ago
For each set of three measures determine if they can be angle measures of a triangle
Orlov [11]

Only the second set of measures qualifies as angle measures of a triangle. Angles 25°, 130°, 25°

Step-by-step explanation:

  • Step 1: To find whether angles qualify as angle measures of a triangles, calculate their total sum and verify whether they add up to 180°

Set 1 - 41° + 112° + 52° = 205°

Set 2 - 25° + 130° + 25° = 180°

Set 3 - 30° + 40° + 90° = 160°

Set 4 - 132° + 141° + 31° = 304°

Therefore, only set 2 qualifies.

8 0
2 years ago
HELP ASAP OFFERING 13 points
dsp73

Answer:

A

Step-by-step explanation:

4 0
2 years ago
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The graph of a linear relationship is shown. Which equation best represents the relationship between x and y in the graph
Finger [1]

Answer:

B.  y = -3/4x + 5/2

Step-by-step explanation:

Take two points from the graph, let's use (-2, 4) and (2, 1):

Find slope:

 m = (y₂ - y₁) / (x₂ - x₁)

     = (1 - 4) / (2 - (-2))

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1 = -3/2 + b

b = 1 + 3/2

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Equation of line using m and b above:

y = mx + b

y = -3/4x + 5/2

8 0
2 years ago
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